New Results on F-Contractions in Complete Metric Spaces
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The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.
Кључне речи:
F-contraction / Ćirić’s quasi-contraction / convex contraction / fixed point / generalized F-contraction / triangular α-admissible mapping / α-admissible mappingИзвор:
Mathematics, 2022, 10, 1, 12-Финансирање / пројекти:
- Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Serbia [IJ-0203]
DOI: 10.3390/math10010012
ISSN: 2227-7390
WoS: 000742529600001
Scopus: 2-s2.0-85121605451
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Институција/група
VinčaTY - JOUR AU - Vujaković, Jelena AU - Kontrec, Nataša AU - Tošić, Marina AU - Fabiano, Nicola AU - Radenović, Stojan PY - 2022 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10098 AB - The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings. T2 - Mathematics T1 - New Results on F-Contractions in Complete Metric Spaces VL - 10 IS - 1 SP - 12 DO - 10.3390/math10010012 ER -
@article{ author = "Vujaković, Jelena and Kontrec, Nataša and Tošić, Marina and Fabiano, Nicola and Radenović, Stojan", year = "2022", abstract = "The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.", journal = "Mathematics", title = "New Results on F-Contractions in Complete Metric Spaces", volume = "10", number = "1", pages = "12", doi = "10.3390/math10010012" }
Vujaković, J., Kontrec, N., Tošić, M., Fabiano, N.,& Radenović, S.. (2022). New Results on F-Contractions in Complete Metric Spaces. in Mathematics, 10(1), 12. https://doi.org/10.3390/math10010012
Vujaković J, Kontrec N, Tošić M, Fabiano N, Radenović S. New Results on F-Contractions in Complete Metric Spaces. in Mathematics. 2022;10(1):12. doi:10.3390/math10010012 .
Vujaković, Jelena, Kontrec, Nataša, Tošić, Marina, Fabiano, Nicola, Radenović, Stojan, "New Results on F-Contractions in Complete Metric Spaces" in Mathematics, 10, no. 1 (2022):12, https://doi.org/10.3390/math10010012 . .
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